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Finding the Fourth Proportional to 4,057.89, 5,587.34 and 3,215.89

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Solution

The fourth proportional to 4,057.89, 5,587.34 and 3,215.89 is: 4,427.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.89 : 5,587.34 = 3,215.89 : x
  2. Step 2: Convert to fraction form
    4,057.89/5,587.34 = 3,215.89/x
  3. Step 3: Cross multiply
    4,057.89x = 5,587.34 × 3,215.89
  4. Step 4: Simplify right side
    4,057.89x = 17,968,270.83
  5. Step 5: Solve for x
    x = 17,968,270.83/4,057.89
  6. Step 6: Final answer
    x = 4,427.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.